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3 years ago

Find the Percent of increase:

Mathematics

1 answer:

BigorU [14]3 years ago

8 0

Answer:

Step-by-step explanation:

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

3 years ago

6 Times what equals 8?

lubasha [3.4K]

To solve this, do 8 division 6, the answer should be 1.3333...

if you convert that to a fraction, it should be 1 1/3

3 0

3 years ago

What is the answer to this question I can’t work it out Ni=n02(yi-yo)/t2

mr_godi [17]

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is $t=\frac{\sqrt{y_i-y_o}}{N}$

<h3>How to change the subject of the equation</h3>

The equation is given as:

$N=\sqrt[2]{\frac{y_i-y_o}{t^2}}$

Rewrite the equation as:

$N=\sqrt{\frac{y_i-y_o}{t^2}}$

Evaluate the square root of t^2

$N=\frac{\sqrt{y_i-y_o}}{t}$

Multiply both sides by t

$Nt=\sqrt{y_i-y_o}$

Make t the subject, in the above equation

$t=\frac{\sqrt{y_i-y_o}}{N}$

Hence, the equation of t is $t=\frac{\sqrt{y_i-y_o}}{N}$

Read more about subject of formula at:

brainly.com/question/657646

6 0

2 years ago

1.1.0

SSSSS [86.1K]

Answer:

the a is c tthinck

Step-by-step explanation:

4 0

3 years ago

30m^2+27m-20=0. It’s quad

9966 [12]

Answer:

m=−920+−1603129

Step-by-step explanation:

3 0

3 years ago